First of.... welcome to EBN!
Second... you need to find a new local vet as the one you are telling us about is a jerk! Now, breathe.... there are a few of us that have had this done to their babies. I have been in two different situations with two of my babies, but one thing to keep in mind is your baby is still growing so it may not be really bad now or have had an infection, as he grows he may.
I'll tell you about Banks first, her tail was very very tight but it was due to extra skin that would swell when temperatures were high or her allergies flared up... so, for her 9 yrs of life, we had to do all the daily maintenance as you currently are --- amputation was not necessary, but it was an option we just decided not to do it.
Now, there is our boy Lambeau, he is currently 15 mths old and he had to have his tail removed at 8 months old. Similar to you, it was really tight and our vet said at the age of 4 months, 'very tight under there, we'll need to watch it'. At 8 months, one day I went to clean it after dinner and it was a HOT MESS, very deep bad infection that just appeared.... no warning, no slowly getting bad, it went from nothing to all heck in one day,... smell, blood, sloppy sticky mess.
My point is, every dog is different, but with Lambeau it was apparent at that point the tail could not stay and it to be removed. We scheduled the removal for two weeks after that as the infection had to be cleared up first.
Now, I have to say for Lambeau it was 100% the right thing to do at the right timing.
Good luck... find a better vet or heck, drive the distance to the good one you have through yor breeder. We currently drive an hour one way for our vet ... trust is hard to find these days, so if you thrust them, it is worth the time/drive.